How do you solve the inequality 7+14x<217+14x<21 or 8x>128x>12?

1 Answer
Nov 20, 2017

x<1x<1 or x>3/2x>32

Explanation:

We will start by solving the first inequality, then the second, and comparing our answers to get a range for x.

7+14x<217+14x<21
1+2x<31+2x<3
2x<22x<2
x<1x<1

And the second:

8x>128x>12
x>12/8x>128
x>3/2x>32

Comparing these:

x<1x<1 or x>3/2x>32

See below the inequalities on a graph:
enter image source here
The shaded part is the part of the graph which satisfies x.